Consistent Modelling of VIX and Equity Derivatives Using a 3/2 plus Jumps Model

Autor:	Jan Baldeaux, Alexander Badran
Rok vydání:	2014
Předmět:	Financial economics Applied Mathematics Forward volatility Econometrics Equity (finance) Economics Skew Volatility smile Implied volatility Finance
Zdroj:	Applied Mathematical Finance. 21:299-312
ISSN:	1466-4313 1350-486X
DOI:	10.1080/1350486x.2013.868631
Popis:	The paper demonstrates that a pure-diffusion 3/2 model is able to capture the observed upward-sloping implied volatility skew in VIX options. This observation contradicts a common perception in the literature that jumps are required for the consistent modelling of equity and VIX derivatives. The pure-diffusion model, however, struggles to reproduce the smile in the implied volatilities of short-term index options. The pronounced implied volatility smile produces artificially inflated fitted parameters, resulting in unrealistically high VIX option implied volatilities. To remedy these shortcomings, jumps are introduced. The resulting model is able to better fit short-term index option implied volatilities while producing more realistic VIX option implied volatilities, without a loss in tractability.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4bdf2eddca9b864228da124bc2bbe910 https://doi.org/10.1080/1350486x.2013.868631 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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